580928 has 28 divisors (see below), whose sum is σ = 1196340. Its totient is φ = 279552.

The previous prime is 580927. The next prime is 580939. The reversal of 580928 is 829085.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 473344 = 328^2 + 688^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 580894 and 580903.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 580928.

It is not an unprimeable number, because it can be changed into a prime (580927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1700 + ... + 2012.

2⁵⁸⁰⁹²⁸ is an apocalyptic number.

580928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598170).

580928 is an abundant number, since it is smaller than the sum of its proper divisors (615412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

580928 is a wasteful number, since it uses less digits than its factorization.

580928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 580928 is about 762.1863289249. The cubic root of 580928 is about 83.4399630586.

The spelling of 580928 in words is "five hundred eighty thousand, nine hundred twenty-eight".